Directions: Read the following information carefully and answer the question given below.
Seven individuals — A, B, C, D, E, F, and G — were born on the same date and month across seven different years: 1955, 1962, 1971, 1980, 1992, 2003, and 2014. Calculate their ages taking 2024 as the base benchmark year.
B’s age is a two-digit even number less than 15. E is 11 years older than B. G is 11 years older than E. Exactly two persons were born between G and A. D is older than A. F is older than C.
Four of the following five are alike in a certain manner and thus form a group. Which one among the following does not belong to that group?
Correct Answer :
F
Solution :
Correct Answer: F
First, calculate the age of each person taking 2024 as the base benchmark year based on their birth years (1955, 1962, 1971, 1980, 1992, 2003, and 2014):
• Born in 1955: Age = 2024 - 1955 = 69
• Born in 1962: Age = 2024 - 1962 = 62
• Born in 1971: Age = 2024 - 1971 = 53
• Born in 1980: Age = 2024 - 1980 = 44
• Born in 1992: Age = 2024 - 1992 = 32
• Born in 2003: Age = 2024 - 2003 = 21
• Born in 2014: Age = 2024 - 2014 = 10
Now, let us determine the exact birth year and age of each individual step-by-step using the given clues:
1. B's Age: B's age is a two-digit even number less than 15. Among the calculated ages, the only two-digit even number less than 15 is 10. Thus, B was born in 2014 (Age = 10).
2. E's Age: E is 11 years older than B. Age of E = 10 + 11 = 21. Thus, E was born in 2003 (Age = 21).
3. G's Age: G is 11 years older than E. Age of G = 21 + 11 = 32. Thus, G was born in 1992 (Age = 32).
4. A's Birth Year: Exactly two persons were born between G (1992) and A. Looking at the birth years ordered chronologically (1955, 1962, 1971, 1980, 1992), placing two persons (born in 1971 and 1980) between G and A means A was born in 1962 (Age = 62).
5. D's Birth Year: D is older than A (born in 1962). The only remaining birth year older than 1962 is 1955. Therefore, D was born in 1955 (Age = 69).
6. F and C's Birth Years: The remaining birth years are 1971 and 1980. Since F is older than C, F was born in 1971 (Age = 53) and C was born in 1980 (Age = 44).
Final Summary of Individuals:
• D: Born in 1955, Age = 69 (Odd)
• A: Born in 1962, Age = 62 (Even)
• F: Born in 1971, Age = 53 (Odd)
• C: Born in 1980, Age = 44 (Even)
• G: Born in 1992, Age = 32 (Even)
• E: Born in 2003, Age = 21 (Odd)
• B: Born in 2014, Age = 10 (Even)
Now evaluate the given five options: B, A, F, G, C:
• B has an age of 10 (Even)
• A has an age of 62 (Even)
• F has an age of 53 (Odd)
• G has an age of 32 (Even)
• C has an age of 44 (Even)
Four of the options (B, A, G, and C) have even ages (and were born in even years), whereas F has an odd age (53) and was born in an odd year (1971). Therefore, F does not belong to the group.
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